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Finding the Fourth Proportional to 158.46, 237.36 and 77.05

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Solution

The fourth proportional to 158.46, 237.36 and 77.05 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.46 : 237.36 = 77.05 : x
  2. Step 2: Convert to fraction form
    158.46/237.36 = 77.05/x
  3. Step 3: Cross multiply
    158.46x = 237.36 × 77.05
  4. Step 4: Simplify right side
    158.46x = 18,288.59
  5. Step 5: Solve for x
    x = 18,288.59/158.46
  6. Step 6: Final answer
    x = 115.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.